Postgraduate Course: Basic Algebra 1 (MATH11125)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 11 (Postgraduate) 
Availability  Not available to visiting students 
SCQF Credits  20 
ECTS Credits  10 
Summary  *Only Postgraduate Taught students on Mathematics Degree Programmes and Undergraduate MMath Year 5 students may take this course, and selection requires the approval of the Programme Director.*
Basic concepts in group theory, including definitions and examples; constructions of groups; generators and relations;simple groups; the JordanHolder theorem; soluble groups; group actions; conjugation; Sylow theorems and applications; free groups and presentations. (12
hours)
Basic concepts in ring and module theory; chain conditions; Hilbert Basis Theorem; these ideas illustrated by examples in number theory and algebraic geometry. (8 hours) 
Course description 
Not entered

Entry Requirements (not applicable to Visiting Students)
Prerequisites 

Corequisites  
Prohibited Combinations  Students MUST NOT also be taking
Jewels of Algebra (MATH10050)

Other requirements  None 
Course Delivery Information
Not being delivered 
Learning Outcomes
On completion of this course, the student will be able to:
 Thoroughly understand the basics of group theory, group actions, ring theory and elementary module theory.
 Apply ring theory and elementary module theory to rings arising in number theory and algebraic geometry.

Additional Information
Graduate Attributes and Skills 
Not entered 
Special Arrangements 
Selection of this course requires the approval of your Programme Director. 
Keywords  BAlg1 
Contacts
Course organiser  Dr Thomas Leinster
Tel: (0131 6)50 5057
Email: Tom.Leinster@ed.ac.uk 
Course secretary  Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk 

